Short proofs of Ramanujan-like identities for the eighth order mock theta function $V_{0}(q)$
Number Theory
2025-10-02 v1
Abstract
Using Appell function properties we give short proofs of Ramanujan-like identities for the eighth order mock theta function after work of Chan and Mao; Mao; and Brietzke, da Silva, and Sellars. We also present a generalization of the identities in the spirit of celebrated results of Bringmann, Ono, and Rhoades on Dyson's ranks and Maass forms.
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Cite
@article{arxiv.2308.16144,
title = {Short proofs of Ramanujan-like identities for the eighth order mock theta function $V_{0}(q)$},
author = {Eric T. Mortenson},
journal= {arXiv preprint arXiv:2308.16144},
year = {2025}
}
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9 pages